Properties

Label 43.6.e.a.4.15
Level 43
Weight 6
Character 43.4
Analytic conductor 6.897
Analytic rank 0
Dimension 108
CM no
Inner twists 2

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Newspace parameters

Level: \( N \) \(=\) \( 43 \)
Weight: \( k \) \(=\) \( 6 \)
Character orbit: \([\chi]\) \(=\) 43.e (of order \(7\), degree \(6\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(6.89650425196\)
Analytic rank: \(0\)
Dimension: \(108\)
Relative dimension: \(18\) over \(\Q(\zeta_{7})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{7}]$

Embedding invariants

Embedding label 4.15
Character \(\chi\) \(=\) 43.4
Dual form 43.6.e.a.11.15

$q$-expansion

\(f(q)\) \(=\) \(q+(4.37339 - 5.48406i) q^{2} +(-9.64274 - 12.0916i) q^{3} +(-3.82767 - 16.7701i) q^{4} +(-28.9111 - 13.9228i) q^{5} -108.483 q^{6} -153.633 q^{7} +(93.5232 + 45.0384i) q^{8} +(0.847858 - 3.71471i) q^{9} +O(q^{10})\) \(q+(4.37339 - 5.48406i) q^{2} +(-9.64274 - 12.0916i) q^{3} +(-3.82767 - 16.7701i) q^{4} +(-28.9111 - 13.9228i) q^{5} -108.483 q^{6} -153.633 q^{7} +(93.5232 + 45.0384i) q^{8} +(0.847858 - 3.71471i) q^{9} +(-202.793 + 97.6600i) q^{10} +(-14.7691 + 64.7078i) q^{11} +(-165.869 + 207.993i) q^{12} +(-483.288 - 232.739i) q^{13} +(-671.899 + 842.534i) q^{14} +(110.432 + 483.836i) q^{15} +(1151.94 - 554.745i) q^{16} +(65.9100 - 31.7406i) q^{17} +(-16.6636 - 20.8956i) q^{18} +(-275.937 - 1208.96i) q^{19} +(-122.826 + 538.134i) q^{20} +(1481.45 + 1857.68i) q^{21} +(290.270 + 363.987i) q^{22} +(392.573 - 1719.97i) q^{23} +(-357.233 - 1565.14i) q^{24} +(-1306.40 - 1638.17i) q^{25} +(-3389.96 + 1632.52i) q^{26} +(-3439.10 + 1656.18i) q^{27} +(588.058 + 2576.45i) q^{28} +(3841.84 - 4817.52i) q^{29} +(3136.35 + 1510.39i) q^{30} +(1028.61 - 1289.84i) q^{31} +(1256.48 - 5505.00i) q^{32} +(924.837 - 445.378i) q^{33} +(114.183 - 500.268i) q^{34} +(4441.71 + 2139.01i) q^{35} -65.5414 q^{36} +6031.76 q^{37} +(-7836.78 - 3773.99i) q^{38} +(1846.03 + 8087.98i) q^{39} +(-2076.80 - 2604.22i) q^{40} +(2240.03 - 2808.91i) q^{41} +16666.6 q^{42} +(10598.2 + 5889.50i) q^{43} +1141.69 q^{44} +(-76.2318 + 95.5916i) q^{45} +(-7715.56 - 9675.01i) q^{46} +(3932.25 + 17228.3i) q^{47} +(-17815.6 - 8579.55i) q^{48} +6796.24 q^{49} -14697.2 q^{50} +(-1019.35 - 490.892i) q^{51} +(-2053.20 + 8995.65i) q^{52} +(-14632.4 + 7046.61i) q^{53} +(-5957.91 + 26103.3i) q^{54} +(1327.91 - 1665.14i) q^{55} +(-14368.3 - 6919.41i) q^{56} +(-11957.5 + 14994.2i) q^{57} +(-9617.67 - 42137.8i) q^{58} +(-28738.1 + 13839.6i) q^{59} +(7691.29 - 3703.93i) q^{60} +(-9242.87 - 11590.2i) q^{61} +(-2575.02 - 11281.9i) q^{62} +(-130.259 + 570.703i) q^{63} +(814.683 + 1021.58i) q^{64} +(10732.0 + 13457.5i) q^{65} +(1602.19 - 7019.67i) q^{66} +(1727.69 + 7569.49i) q^{67} +(-784.574 - 983.825i) q^{68} +(-24582.8 + 11838.4i) q^{69} +(31155.8 - 15003.8i) q^{70} +(-9581.84 - 41980.8i) q^{71} +(246.599 - 309.225i) q^{72} +(32380.0 + 15593.4i) q^{73} +(26379.2 - 33078.5i) q^{74} +(-7210.89 + 31593.0i) q^{75} +(-19218.2 + 9254.99i) q^{76} +(2269.03 - 9941.28i) q^{77} +(52428.4 + 25248.2i) q^{78} +55794.9 q^{79} -41027.5 q^{80} +(52354.0 + 25212.4i) q^{81} +(-5607.70 - 24568.9i) q^{82} +(72714.9 + 91181.6i) q^{83} +(25483.0 - 31954.6i) q^{84} -2347.45 q^{85} +(78648.5 - 32364.1i) q^{86} -95297.5 q^{87} +(-4295.59 + 5386.50i) q^{88} +(-54288.9 - 68076.1i) q^{89} +(190.839 + 836.119i) q^{90} +(74249.3 + 35756.6i) q^{91} -30346.8 q^{92} -25514.8 q^{93} +(111678. + 53781.5i) q^{94} +(-8854.51 + 38794.1i) q^{95} +(-78680.3 + 37890.4i) q^{96} +(19781.1 - 86666.7i) q^{97} +(29722.6 - 37270.9i) q^{98} +(227.848 + 109.726i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 108q - 3q^{2} - 9q^{3} - 331q^{4} + 67q^{5} - 20q^{6} - 624q^{7} + 589q^{8} - 579q^{9} + O(q^{10}) \) \( 108q - 3q^{2} - 9q^{3} - 331q^{4} + 67q^{5} - 20q^{6} - 624q^{7} + 589q^{8} - 579q^{9} + 627q^{10} - 220q^{11} - 663q^{12} - 1266q^{13} + 2353q^{14} + 1471q^{15} - 4583q^{16} - 1490q^{17} + 4728q^{18} + 946q^{19} + 14589q^{20} + 776q^{21} + 963q^{22} - 3018q^{23} - 17761q^{24} - 11939q^{25} + 1315q^{26} + 11277q^{27} - 10787q^{28} + 7283q^{29} - 55324q^{30} + 18676q^{31} - 10965q^{32} + 8776q^{33} + 23815q^{34} - 13340q^{35} + 136240q^{36} + 4994q^{37} + 39351q^{38} - 21251q^{39} + 14719q^{40} - 10519q^{41} - 199326q^{42} + 7026q^{43} - 180280q^{44} + 65996q^{45} - 5266q^{46} + 34102q^{47} + 69385q^{48} + 232252q^{49} + 17850q^{50} + 4116q^{51} + 32385q^{52} + 46774q^{53} - 30267q^{54} + 83643q^{55} - 231565q^{56} + 79511q^{57} - 222889q^{58} - 142070q^{59} + 42019q^{60} + 4715q^{61} - 150121q^{62} - 53547q^{63} + 163605q^{64} - 106653q^{65} - 56111q^{66} + 370962q^{67} - 579312q^{68} - 245635q^{69} - 91242q^{70} + 16922q^{71} + 586300q^{72} + 97842q^{73} + 535946q^{74} + 245407q^{75} + 942280q^{76} + 43381q^{77} + 173684q^{78} + 187210q^{79} - 752974q^{80} - 791814q^{81} + 387227q^{82} - 444471q^{83} - 688442q^{84} + 255432q^{85} - 244075q^{86} - 1418850q^{87} + 196837q^{88} + 408972q^{89} - 495568q^{90} - 25764q^{91} + 200120q^{92} + 692536q^{93} + 161449q^{94} + 406105q^{95} + 1096556q^{96} + 266261q^{97} + 527485q^{98} + 212416q^{99} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/43\mathbb{Z}\right)^\times\).

\(n\) \(3\)
\(\chi(n)\) \(e\left(\frac{2}{7}\right)\)

Coefficient data

For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).

Display \(a_p\) with \(p\) up to: 50 250 1000 (See \(a_n\) instead) (See \(a_n\) instead) (See \(a_n\) instead) Display \(a_n\) with \(n\) up to: 50 250 1000 (See only \(a_p\)) (See only \(a_p\)) (See only \(a_p\))
Significant digits:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 4.37339 5.48406i 0.773113 0.969453i −0.226877 0.973923i \(-0.572852\pi\)
0.999990 + 0.00447028i \(0.00142294\pi\)
\(3\) −9.64274 12.0916i −0.618582 0.775678i 0.369562 0.929206i \(-0.379508\pi\)
−0.988144 + 0.153528i \(0.950936\pi\)
\(4\) −3.82767 16.7701i −0.119615 0.524066i
\(5\) −28.9111 13.9228i −0.517177 0.249059i 0.157040 0.987592i \(-0.449805\pi\)
−0.674218 + 0.738533i \(0.735519\pi\)
\(6\) −108.483 −1.23022
\(7\) −153.633 −1.18506 −0.592530 0.805548i \(-0.701871\pi\)
−0.592530 + 0.805548i \(0.701871\pi\)
\(8\) 93.5232 + 45.0384i 0.516648 + 0.248804i
\(9\) 0.847858 3.71471i 0.00348913 0.0152869i
\(10\) −202.793 + 97.6600i −0.641288 + 0.308828i
\(11\) −14.7691 + 64.7078i −0.0368022 + 0.161241i −0.989990 0.141138i \(-0.954924\pi\)
0.953188 + 0.302379i \(0.0977809\pi\)
\(12\) −165.869 + 207.993i −0.332515 + 0.416960i
\(13\) −483.288 232.739i −0.793136 0.381954i −0.00697510 0.999976i \(-0.502220\pi\)
−0.786161 + 0.618021i \(0.787935\pi\)
\(14\) −671.899 + 842.534i −0.916186 + 1.14886i
\(15\) 110.432 + 483.836i 0.126727 + 0.555227i
\(16\) 1151.94 554.745i 1.12494 0.541743i
\(17\) 65.9100 31.7406i 0.0553132 0.0266374i −0.406023 0.913863i \(-0.633085\pi\)
0.461336 + 0.887226i \(0.347370\pi\)
\(18\) −16.6636 20.8956i −0.0121224 0.0152010i
\(19\) −275.937 1208.96i −0.175358 0.768294i −0.983735 0.179628i \(-0.942511\pi\)
0.808376 0.588666i \(-0.200347\pi\)
\(20\) −122.826 + 538.134i −0.0686616 + 0.300826i
\(21\) 1481.45 + 1857.68i 0.733058 + 0.919225i
\(22\) 290.270 + 363.987i 0.127863 + 0.160335i
\(23\) 392.573 1719.97i 0.154739 0.677958i −0.836730 0.547616i \(-0.815535\pi\)
0.991469 0.130342i \(-0.0416074\pi\)
\(24\) −357.233 1565.14i −0.126597 0.554658i
\(25\) −1306.40 1638.17i −0.418048 0.524216i
\(26\) −3389.96 + 1632.52i −0.983471 + 0.473615i
\(27\) −3439.10 + 1656.18i −0.907893 + 0.437218i
\(28\) 588.058 + 2576.45i 0.141751 + 0.621050i
\(29\) 3841.84 4817.52i 0.848291 1.06372i −0.148903 0.988852i \(-0.547574\pi\)
0.997193 0.0748710i \(-0.0238545\pi\)
\(30\) 3136.35 + 1510.39i 0.636240 + 0.306397i
\(31\) 1028.61 1289.84i 0.192241 0.241063i −0.676364 0.736567i \(-0.736445\pi\)
0.868605 + 0.495505i \(0.165017\pi\)
\(32\) 1256.48 5505.00i 0.216911 0.950348i
\(33\) 924.837 445.378i 0.147836 0.0711941i
\(34\) 114.183 500.268i 0.0169396 0.0742173i
\(35\) 4441.71 + 2139.01i 0.612887 + 0.295151i
\(36\) −65.5414 −0.00842867
\(37\) 6031.76 0.724336 0.362168 0.932113i \(-0.382037\pi\)
0.362168 + 0.932113i \(0.382037\pi\)
\(38\) −7836.78 3773.99i −0.880397 0.423977i
\(39\) 1846.03 + 8087.98i 0.194347 + 0.851489i
\(40\) −2076.80 2604.22i −0.205231 0.257352i
\(41\) 2240.03 2808.91i 0.208111 0.260963i −0.666811 0.745227i \(-0.732341\pi\)
0.874922 + 0.484264i \(0.160913\pi\)
\(42\) 16666.6 1.45788
\(43\) 10598.2 + 5889.50i 0.874101 + 0.485744i
\(44\) 1141.69 0.0889029
\(45\) −76.2318 + 95.5916i −0.00561183 + 0.00703702i
\(46\) −7715.56 9675.01i −0.537617 0.674150i
\(47\) 3932.25 + 17228.3i 0.259655 + 1.13762i 0.921622 + 0.388090i \(0.126865\pi\)
−0.661966 + 0.749533i \(0.730278\pi\)
\(48\) −17815.6 8579.55i −1.11609 0.537479i
\(49\) 6796.24 0.404369
\(50\) −14697.2 −0.831401
\(51\) −1019.35 490.892i −0.0548778 0.0264278i
\(52\) −2053.20 + 8995.65i −0.105299 + 0.461343i
\(53\) −14632.4 + 7046.61i −0.715529 + 0.344580i −0.755974 0.654601i \(-0.772836\pi\)
0.0404457 + 0.999182i \(0.487122\pi\)
\(54\) −5957.91 + 26103.3i −0.278041 + 1.21818i
\(55\) 1327.91 1665.14i 0.0591918 0.0742241i
\(56\) −14368.3 6919.41i −0.612259 0.294848i
\(57\) −11957.5 + 14994.2i −0.487475 + 0.611275i
\(58\) −9617.67 42137.8i −0.375405 1.64476i
\(59\) −28738.1 + 13839.6i −1.07480 + 0.517598i −0.885652 0.464350i \(-0.846288\pi\)
−0.189151 + 0.981948i \(0.560574\pi\)
\(60\) 7691.29 3703.93i 0.275817 0.132826i
\(61\) −9242.87 11590.2i −0.318040 0.398810i 0.596955 0.802275i \(-0.296377\pi\)
−0.914995 + 0.403465i \(0.867806\pi\)
\(62\) −2575.02 11281.9i −0.0850749 0.372737i
\(63\) −130.259 + 570.703i −0.00413483 + 0.0181159i
\(64\) 814.683 + 1021.58i 0.0248622 + 0.0311762i
\(65\) 10732.0 + 13457.5i 0.315063 + 0.395076i
\(66\) 1602.19 7019.67i 0.0452746 0.198361i
\(67\) 1727.69 + 7569.49i 0.0470195 + 0.206006i 0.992981 0.118273i \(-0.0377357\pi\)
−0.945962 + 0.324278i \(0.894879\pi\)
\(68\) −784.574 983.825i −0.0205760 0.0258015i
\(69\) −24582.8 + 11838.4i −0.621596 + 0.299345i
\(70\) 31155.8 15003.8i 0.759965 0.365980i
\(71\) −9581.84 41980.8i −0.225581 0.988336i −0.953197 0.302351i \(-0.902229\pi\)
0.727616 0.685985i \(-0.240628\pi\)
\(72\) 246.599 309.225i 0.00560609 0.00702981i
\(73\) 32380.0 + 15593.4i 0.711163 + 0.342478i 0.754245 0.656593i \(-0.228003\pi\)
−0.0430814 + 0.999072i \(0.513717\pi\)
\(74\) 26379.2 33078.5i 0.559994 0.702210i
\(75\) −7210.89 + 31593.0i −0.148025 + 0.648541i
\(76\) −19218.2 + 9254.99i −0.381661 + 0.183798i
\(77\) 2269.03 9941.28i 0.0436128 0.191080i
\(78\) 52428.4 + 25248.2i 0.975730 + 0.469887i
\(79\) 55794.9 1.00584 0.502918 0.864334i \(-0.332260\pi\)
0.502918 + 0.864334i \(0.332260\pi\)
\(80\) −41027.5 −0.716720
\(81\) 52354.0 + 25212.4i 0.886620 + 0.426974i
\(82\) −5607.70 24568.9i −0.0920980 0.403508i
\(83\) 72714.9 + 91181.6i 1.15859 + 1.45282i 0.868409 + 0.495848i \(0.165143\pi\)
0.290177 + 0.956973i \(0.406286\pi\)
\(84\) 25483.0 31954.6i 0.394050 0.494123i
\(85\) −2347.45 −0.0352410
\(86\) 78648.5 32364.1i 1.14669 0.471865i
\(87\) −95297.5 −1.34984
\(88\) −4295.59 + 5386.50i −0.0591312 + 0.0741481i
\(89\) −54288.9 68076.1i −0.726501 0.911003i 0.272186 0.962245i \(-0.412253\pi\)
−0.998686 + 0.0512419i \(0.983682\pi\)
\(90\) 190.839 + 836.119i 0.00248348 + 0.0108808i
\(91\) 74249.3 + 35756.6i 0.939915 + 0.452639i
\(92\) −30346.8 −0.373804
\(93\) −25514.8 −0.305904
\(94\) 111678. + 53781.5i 1.30362 + 0.627788i
\(95\) −8854.51 + 38794.1i −0.100660 + 0.441019i
\(96\) −78680.3 + 37890.4i −0.871341 + 0.419616i
\(97\) 19781.1 86666.7i 0.213462 0.935239i −0.748731 0.662873i \(-0.769337\pi\)
0.962194 0.272366i \(-0.0878061\pi\)
\(98\) 29722.6 37270.9i 0.312623 0.392017i
\(99\) 227.848 + 109.726i 0.00233646 + 0.00112518i
\(100\) −22471.9 + 28178.9i −0.224719 + 0.281789i
\(101\) −37855.9 165858.i −0.369258 1.61783i −0.728820 0.684706i \(-0.759931\pi\)
0.359561 0.933121i \(-0.382926\pi\)
\(102\) −7150.08 + 3443.30i −0.0680473 + 0.0327698i
\(103\) −53433.4 + 25732.2i −0.496272 + 0.238992i −0.665240 0.746630i \(-0.731671\pi\)
0.168968 + 0.985622i \(0.445957\pi\)
\(104\) −34716.5 43533.1i −0.314740 0.394672i
\(105\) −16966.1 74333.4i −0.150179 0.657977i
\(106\) −25349.3 + 111063.i −0.219130 + 0.960071i
\(107\) −90706.2 113742.i −0.765909 0.960420i 0.234021 0.972232i \(-0.424812\pi\)
−0.999930 + 0.0118115i \(0.996240\pi\)
\(108\) 40938.1 + 51334.7i 0.337729 + 0.423498i
\(109\) 16442.5 72039.3i 0.132557 0.580769i −0.864399 0.502806i \(-0.832301\pi\)
0.996956 0.0779634i \(-0.0248417\pi\)
\(110\) −3324.29 14564.6i −0.0261949 0.114767i
\(111\) −58162.7 72933.8i −0.448061 0.561851i
\(112\) −176976. + 85227.4i −1.33312 + 0.641999i
\(113\) 170137. 81933.7i 1.25344 0.603624i 0.315006 0.949090i \(-0.397993\pi\)
0.938431 + 0.345466i \(0.112279\pi\)
\(114\) 29934.4 + 131151.i 0.215729 + 0.945169i
\(115\) −35296.7 + 44260.6i −0.248879 + 0.312085i
\(116\) −95495.6 45988.3i −0.658929 0.317323i
\(117\) −1274.32 + 1597.94i −0.00860624 + 0.0107919i
\(118\) −49786.1 + 218127.i −0.329157 + 1.44213i
\(119\) −10126.0 + 4876.41i −0.0655495 + 0.0315670i
\(120\) −11463.2 + 50223.6i −0.0726697 + 0.318387i
\(121\) 141133. + 67966.1i 0.876325 + 0.422016i
\(122\) −103984. −0.632509
\(123\) −55564.4 −0.331157
\(124\) −25567.9 12312.8i −0.149328 0.0719124i
\(125\) 37275.3 + 163314.i 0.213376 + 0.934863i
\(126\) 2560.09 + 3210.26i 0.0143658 + 0.0180141i
\(127\) −170018. + 213196.i −0.935375 + 1.17292i 0.0493451 + 0.998782i \(0.484287\pi\)
−0.984721 + 0.174142i \(0.944285\pi\)
\(128\) 189856. 1.02423
\(129\) −30982.2 184941.i −0.163922 0.978493i
\(130\) 120737. 0.626587
\(131\) 53567.6 67171.6i 0.272724 0.341985i −0.626542 0.779388i \(-0.715530\pi\)
0.899266 + 0.437403i \(0.144102\pi\)
\(132\) −11009.0 13804.9i −0.0549937 0.0689600i
\(133\) 42393.1 + 185737.i 0.207810 + 0.910475i
\(134\) 49067.4 + 23629.6i 0.236064 + 0.113683i
\(135\) 122487. 0.578435
\(136\) 7593.66 0.0352050
\(137\) −58229.6 28041.9i −0.265059 0.127646i 0.296634 0.954991i \(-0.404136\pi\)
−0.561694 + 0.827345i \(0.689850\pi\)
\(138\) −42587.3 + 186587.i −0.190363 + 0.834035i
\(139\) −27244.1 + 13120.1i −0.119601 + 0.0575970i −0.492728 0.870184i \(-0.664000\pi\)
0.373126 + 0.927781i \(0.378286\pi\)
\(140\) 18870.1 82675.4i 0.0813682 0.356497i
\(141\) 170401. 213676.i 0.721811 0.905122i
\(142\) −272130. 131051.i −1.13254 0.545405i
\(143\) 22197.8 27835.2i 0.0907758 0.113829i
\(144\) −1084.03 4749.46i −0.00435649 0.0190870i
\(145\) −178145. + 85790.3i −0.703647 + 0.338858i
\(146\) 227125. 109378.i 0.881826 0.424665i
\(147\) −65534.4 82177.5i −0.250136 0.313660i
\(148\) −23087.6 101153.i −0.0866412 0.379600i
\(149\) 36035.6 157882.i 0.132974 0.582596i −0.863905 0.503654i \(-0.831989\pi\)
0.996879 0.0789422i \(-0.0251543\pi\)
\(150\) 141722. + 177713.i 0.514290 + 0.644899i
\(151\) −273653. 343150.i −0.976692 1.22473i −0.974420 0.224736i \(-0.927848\pi\)
−0.00227226 0.999997i \(-0.500723\pi\)
\(152\) 28643.1 125494.i 0.100557 0.440567i
\(153\) −62.0247 271.748i −0.000214208 0.000938507i
\(154\) −44595.2 55920.6i −0.151526 0.190007i
\(155\) −47696.4 + 22969.4i −0.159462 + 0.0767927i
\(156\) 128570. 61916.2i 0.422989 0.203701i
\(157\) −36509.1 159957.i −0.118209 0.517909i −0.999013 0.0444266i \(-0.985854\pi\)
0.880803 0.473482i \(-0.157003\pi\)
\(158\) 244013. 305982.i 0.777624 0.975110i
\(159\) 226302. + 108981.i 0.709897 + 0.341868i
\(160\) −112972. + 141662.i −0.348874 + 0.437475i
\(161\) −60312.3 + 264246.i −0.183376 + 0.803421i
\(162\) 367231. 176849.i 1.09939 0.529438i
\(163\) −78064.6 + 342023.i −0.230136 + 1.00829i 0.719390 + 0.694606i \(0.244421\pi\)
−0.949526 + 0.313687i \(0.898436\pi\)
\(164\) −55679.9 26814.0i −0.161655 0.0778489i
\(165\) −32939.0 −0.0941890
\(166\) 818056. 2.30416
\(167\) −413628. 199193.i −1.14767 0.552691i −0.239340 0.970936i \(-0.576931\pi\)
−0.908334 + 0.418245i \(0.862645\pi\)
\(168\) 54883.0 + 240458.i 0.150025 + 0.657304i
\(169\) −52097.4 65328.1i −0.140314 0.175948i
\(170\) −10266.3 + 12873.5i −0.0272453 + 0.0341645i
\(171\) −4724.88 −0.0123567
\(172\) 58201.2 200276.i 0.150007 0.516189i
\(173\) −218673. −0.555494 −0.277747 0.960654i \(-0.589588\pi\)
−0.277747 + 0.960654i \(0.589588\pi\)
\(174\) −416773. + 522617.i −1.04358 + 1.30861i
\(175\) 200707. + 251678.i 0.495412 + 0.621228i
\(176\) 18883.2 + 82732.6i 0.0459508 + 0.201324i
\(177\) 444457. + 214039.i 1.06634 + 0.513524i
\(178\) −610760. −1.44484
\(179\) −332591. −0.775850 −0.387925 0.921691i \(-0.626808\pi\)
−0.387925 + 0.921691i \(0.626808\pi\)
\(180\) 1894.87 + 912.522i 0.00435912 + 0.00209924i
\(181\) −46441.1 + 203472.i −0.105367 + 0.461644i 0.894526 + 0.447016i \(0.147513\pi\)
−0.999893 + 0.0146278i \(0.995344\pi\)
\(182\) 520812. 250810.i 1.16547 0.561262i
\(183\) −51017.6 + 223523.i −0.112614 + 0.493394i
\(184\) 114180. 143177.i 0.248625 0.311765i
\(185\) −174385. 83979.3i −0.374610 0.180403i
\(186\) −111586. + 139925.i −0.236498 + 0.296560i
\(187\) 1080.43 + 4733.67i 0.00225940 + 0.00989906i
\(188\) 273870. 131889.i 0.565131 0.272153i
\(189\) 528360. 254445.i 1.07591 0.518130i
\(190\) 174025. + 218220.i 0.349726 + 0.438542i
\(191\) −108615. 475871.i −0.215429 0.943857i −0.960808 0.277216i \(-0.910588\pi\)
0.745379 0.666641i \(-0.232269\pi\)
\(192\) 4496.78 19701.7i 0.00880336 0.0385700i
\(193\) 375311. + 470625.i 0.725267 + 0.909456i 0.998623 0.0524571i \(-0.0167053\pi\)
−0.273356 + 0.961913i \(0.588134\pi\)
\(194\) −388774. 487508.i −0.741640 0.929987i
\(195\) 59237.0 259534.i 0.111560 0.488774i
\(196\) −26013.7 113974.i −0.0483685 0.211916i
\(197\) 276660. + 346921.i 0.507904 + 0.636891i 0.967992 0.250982i \(-0.0807536\pi\)
−0.460088 + 0.887873i \(0.652182\pi\)
\(198\) 1598.21 769.659i 0.00289715 0.00139520i
\(199\) 751375. 361843.i 1.34501 0.647720i 0.383765 0.923431i \(-0.374627\pi\)
0.961241 + 0.275711i \(0.0889131\pi\)
\(200\) −48398.0 212046.i −0.0855564 0.374847i
\(201\) 74867.8 93881.2i 0.130709 0.163904i
\(202\) −1.07513e6 517756.i −1.85389 0.892784i
\(203\) −590236. + 740132.i −1.00528 + 1.26058i
\(204\) −4330.59 + 18973.6i −0.00728570 + 0.0319208i
\(205\) −103870. + 50021.1i −0.172626 + 0.0831321i
\(206\) −92568.4 + 405568.i −0.151983 + 0.665880i
\(207\) −6056.36 2916.59i −0.00982394 0.00473096i
\(208\) −685830. −1.09915
\(209\) 82304.4 0.130334
\(210\) −481848. 232046.i −0.753984 0.363099i
\(211\) 266861. + 1.16919e6i 0.412647 + 1.80793i 0.571475 + 0.820619i \(0.306371\pi\)
−0.158828 + 0.987306i \(0.550771\pi\)
\(212\) 174181. + 218415.i 0.266171 + 0.333767i
\(213\) −415220. + 520670.i −0.627089 + 0.786345i
\(214\) −1.02046e6 −1.52322
\(215\) −224407. 317829.i −0.331086 0.468919i
\(216\) −396227. −0.577843
\(217\) −158029. + 198162.i −0.227817 + 0.285674i
\(218\) −323158. 405228.i −0.460547 0.577508i
\(219\) −123683. 541889.i −0.174260 0.763485i
\(220\) −33007.4 15895.5i −0.0459785 0.0221421i
\(221\) −39240.8 −0.0540452
\(222\) −654341. −0.891090
\(223\) 715908. + 344763.i 0.964040 + 0.464257i 0.848587 0.529055i \(-0.177454\pi\)
0.115453 + 0.993313i \(0.463168\pi\)
\(224\) −193038. + 845753.i −0.257052 + 1.12622i
\(225\) −7192.98 + 3463.96i −0.00947224 + 0.00456159i
\(226\) 294746. 1.29137e6i 0.383864 1.68182i
\(227\) −264396. + 331543.i −0.340558 + 0.427046i −0.922388 0.386264i \(-0.873765\pi\)
0.581830 + 0.813310i \(0.302337\pi\)
\(228\) 297224. + 143135.i 0.378657 + 0.182352i
\(229\) 661802. 829874.i 0.833949 1.04574i −0.164289 0.986412i \(-0.552533\pi\)
0.998239 0.0593272i \(-0.0188955\pi\)
\(230\) 88361.6 + 387138.i 0.110140 + 0.482554i
\(231\) −142086. + 68425.0i −0.175195 + 0.0843693i
\(232\) 576275. 277519.i 0.702926 0.338512i
\(233\) 74557.6 + 93492.3i 0.0899709 + 0.112820i 0.824779 0.565455i \(-0.191299\pi\)
−0.734808 + 0.678275i \(0.762728\pi\)
\(234\) 3190.13 + 13976.9i 0.00380863 + 0.0166867i
\(235\) 126182. 552838.i 0.149048 0.653022i
\(236\) 342091. + 428969.i 0.399817 + 0.501355i
\(237\) −538016. 674651.i −0.622192 0.780204i
\(238\) −17542.3 + 76857.9i −0.0200745 + 0.0879520i
\(239\) 40212.3 + 176181.i 0.0455369 + 0.199510i 0.992579 0.121598i \(-0.0388018\pi\)
−0.947043 + 0.321108i \(0.895945\pi\)
\(240\) 395617. + 496088.i 0.443350 + 0.555944i
\(241\) 1.54937e6 746136.i 1.71835 0.827514i 0.728560 0.684982i \(-0.240190\pi\)
0.989790 0.142533i \(-0.0455245\pi\)
\(242\) 989959. 476739.i 1.08662 0.523290i
\(243\) 6422.77 + 28140.0i 0.00697761 + 0.0305709i
\(244\) −158990. + 199367.i −0.170960 + 0.214378i
\(245\) −196487. 94623.0i −0.209131 0.100712i
\(246\) −243005. + 304718.i −0.256022 + 0.321041i
\(247\) −148015. + 648497.i −0.154370 + 0.676341i
\(248\) 154291. 74302.6i 0.159298 0.0767141i
\(249\) 401362. 1.75848e6i 0.410240 1.79738i
\(250\) 1.05864e6 + 509815.i 1.07127 + 0.515896i
\(251\) −1.61981e6 −1.62286 −0.811430 0.584450i \(-0.801310\pi\)
−0.811430 + 0.584450i \(0.801310\pi\)
\(252\) 10069.3 0.00998849
\(253\) 105498. + 50805.1i 0.103620 + 0.0499006i
\(254\) 425623. + 1.86478e6i 0.413944 + 1.81361i
\(255\) 22635.8 + 28384.5i 0.0217995 + 0.0273357i
\(256\) 804243. 1.00849e6i 0.766986 0.961770i
\(257\) 1.41355e6 1.33499 0.667495 0.744614i \(-0.267366\pi\)
0.667495 + 0.744614i \(0.267366\pi\)
\(258\) −1.14972e6 638909.i −1.07533 0.597571i
\(259\) −926681. −0.858382
\(260\) 184605. 231488.i 0.169360 0.212371i
\(261\) −14638.3 18355.9i −0.0133012 0.0166792i
\(262\) −134101. 587535.i −0.120692 0.528787i
\(263\) 1.83965e6 + 885928.i 1.64001 + 0.789785i 0.999766 + 0.0216097i \(0.00687913\pi\)
0.640239 + 0.768175i \(0.278835\pi\)
\(264\) 106553. 0.0940926
\(265\) 521149. 0.455876
\(266\) 1.20399e6 + 579812.i 1.04332 + 0.502438i
\(267\) −299657. + 1.31288e6i −0.257244 + 1.12706i
\(268\) 120328. 57947.0i 0.102336 0.0492826i
\(269\) −247752. + 1.08547e6i −0.208755 + 0.914614i 0.756642 + 0.653829i \(0.226839\pi\)
−0.965397 + 0.260785i \(0.916019\pi\)
\(270\) 535682. 671724.i 0.447196 0.560766i
\(271\) 242796. + 116925.i 0.200825 + 0.0967124i 0.531593 0.847000i \(-0.321593\pi\)
−0.330768 + 0.943712i \(0.607308\pi\)
\(272\) 58316.4 73126.5i 0.0477935 0.0599311i
\(273\) −283612. 1.24258e6i −0.230313 1.00907i
\(274\) −408444. + 196696.i −0.328667 + 0.158278i
\(275\) 125297. 60339.9i 0.0999100 0.0481141i
\(276\) 292626. + 366942.i 0.231228 + 0.289951i
\(277\) −412358. 1.80666e6i −0.322905 1.41474i −0.832356 0.554241i \(-0.813009\pi\)
0.509451 0.860500i \(-0.329849\pi\)
\(278\) −47197.9 + 206788.i −0.0366278 + 0.160477i
\(279\) −3919.25 4914.58i −0.00301434 0.00377986i
\(280\) 319065. + 400095.i 0.243212 + 0.304978i
\(281\) −169998. + 744810.i −0.128433 + 0.562703i 0.869232 + 0.494405i \(0.164614\pi\)
−0.997665 + 0.0682982i \(0.978243\pi\)
\(282\) −426581. 1.86897e6i −0.319432 1.39952i
\(283\) −351056. 440210.i −0.260561 0.326734i 0.634292 0.773093i \(-0.281292\pi\)
−0.894854 + 0.446360i \(0.852720\pi\)
\(284\) −667346. + 321377.i −0.490970 + 0.236439i
\(285\) 554466. 267017.i 0.404355 0.194727i
\(286\) −55570.0 243468.i −0.0401721 0.176006i
\(287\) −344144. + 431543.i −0.246624 + 0.309257i
\(288\) −19384.2 9334.92i −0.0137710 0.00663177i
\(289\) −881930. + 1.10590e6i −0.621140 + 0.778885i
\(290\) −308620. + 1.35215e6i −0.215491 + 0.944129i
\(291\) −1.23868e6 + 596519.i −0.857488 + 0.412945i
\(292\) 137563. 602702.i 0.0944156 0.413662i
\(293\) −1.14789e6 552794.i −0.781144 0.376179i 0.000423511 1.00000i \(-0.499865\pi\)
−0.781567 + 0.623821i \(0.785579\pi\)
\(294\) −737273. −0.497462
\(295\) 1.02354e6 0.684776
\(296\) 564110. + 271661.i 0.374226 + 0.180218i
\(297\) −56375.4 246997.i −0.0370850 0.162480i
\(298\) −708238. 888102.i −0.461996 0.579325i
\(299\) −590032. + 739877.i −0.381678 + 0.478609i
\(300\) 557419. 0.357584
\(301\) −1.62824e6 904825.i −1.03586 0.575636i
\(302\) −3.07864e6 −1.94241
\(303\) −1.64045e6 + 2.05706e6i −1.02650 + 1.28718i
\(304\) −988527. 1.23957e6i −0.613486 0.769287i
\(305\) 105853. + 463772.i 0.0651559 + 0.285466i
\(306\) −1761.54 848.312i −0.00107545 0.000517907i
\(307\) −1.27851e6 −0.774207 −0.387104 0.922036i \(-0.626524\pi\)
−0.387104 + 0.922036i \(0.626524\pi\)
\(308\) −175401. −0.105355
\(309\) 826388. + 397968.i 0.492366 + 0.237111i
\(310\) −82629.5 + 362024.i −0.0488350 + 0.213960i
\(311\) 237632. 114438.i 0.139317 0.0670916i −0.362926 0.931818i \(-0.618222\pi\)
0.502244 + 0.864726i \(0.332508\pi\)
\(312\) −191623. + 839557.i −0.111445 + 0.488274i
\(313\) 1.68146e6 2.10848e6i 0.970118 1.21649i −0.00616225 0.999981i \(-0.501962\pi\)
0.976281 0.216509i \(-0.0694671\pi\)
\(314\) −1.03688e6 499335.i −0.593478 0.285804i
\(315\) 11711.8 14686.1i 0.00665037 0.00833929i
\(316\) −213564. 935687.i −0.120313 0.527124i
\(317\) 2.42593e6 1.16827e6i 1.35591 0.652972i 0.392189 0.919885i \(-0.371718\pi\)
0.963721 + 0.266913i \(0.0860037\pi\)
\(318\) 1.58736e6 764434.i 0.880256 0.423909i
\(319\) 254990. + 319748.i 0.140297 + 0.175926i
\(320\) −9330.07 40877.7i −0.00509342 0.0223158i
\(321\) −500668. + 2.19357e6i −0.271198 + 1.18820i
\(322\) 1.18537e6 + 1.48641e6i 0.637109 + 0.798909i
\(323\) −56560.0 70924.1i −0.0301650 0.0378257i
\(324\) 222420. 974488.i 0.117710 0.515720i
\(325\) 250100. + 1.09576e6i 0.131343 + 0.575450i
\(326\) 1.53427e6 + 1.92391e6i 0.799572 + 1.00263i
\(327\) −1.02962e6 + 495840.i −0.532487 + 0.256432i
\(328\) 336004. 161811.i 0.172449 0.0830470i
\(329\) −604126. 2.64685e6i −0.307707 1.34815i
\(330\) −144055. + 180639.i −0.0728187 + 0.0913118i
\(331\) 3.48061e6 + 1.67617e6i 1.74617 + 0.840910i 0.980195 + 0.198035i \(0.0634561\pi\)
0.765972 + 0.642874i \(0.222258\pi\)
\(332\) 1.25080e6 1.56845e6i 0.622790 0.780954i
\(333\) 5114.08 22406.2i 0.00252730 0.0110728i
\(334\) −2.90134e6 + 1.39721e6i −1.42309 + 0.685324i
\(335\) 55439.6 242897.i 0.0269903 0.118252i
\(336\) 2.73708e6 + 1.31811e6i 1.32263 + 0.636945i
\(337\) −2.43361e6 −1.16728 −0.583641 0.812012i \(-0.698372\pi\)
−0.583641 + 0.812012i \(0.698372\pi\)
\(338\) −586105. −0.279051
\(339\) −2.63130e6 1.26717e6i −1.24357 0.598873i
\(340\) 8985.25 + 39367.0i 0.00421534 + 0.0184686i
\(341\) 68270.7 + 85608.8i 0.0317943 + 0.0398687i
\(342\) −20663.8 + 25911.5i −0.00955309 + 0.0119792i
\(343\) 1.53799e6 0.705859
\(344\) 725925. + 1.02813e6i 0.330747 + 0.468439i
\(345\) 875539. 0.396030
\(346\) −956340. + 1.19921e6i −0.429459 + 0.538525i
\(347\) −2.59366e6 3.25234e6i −1.15635 1.45002i −0.870791 0.491654i \(-0.836392\pi\)
−0.285558 0.958361i \(-0.592179\pi\)
\(348\) 364767. + 1.59815e6i 0.161461 + 0.707407i
\(349\) −2.16041e6 1.04040e6i −0.949450 0.457231i −0.105957 0.994371i \(-0.533790\pi\)
−0.843493 + 0.537140i \(0.819505\pi\)
\(350\) 2.25799e6 0.985261
\(351\) 2.04753e6 0.887081
\(352\) 337659. + 162608.i 0.145252 + 0.0699497i
\(353\) −641517. + 2.81067e6i −0.274013 + 1.20053i 0.631217 + 0.775607i \(0.282556\pi\)
−0.905230 + 0.424923i \(0.860301\pi\)
\(354\) 3.11759e6 1.50135e6i 1.32224 0.636758i
\(355\) −307470. + 1.34712e6i −0.129489 + 0.567328i
\(356\) −933844. + 1.17100e6i −0.390525 + 0.489703i
\(357\) 156606. + 75417.4i 0.0650336 + 0.0313185i
\(358\) −1.45455e6 + 1.82395e6i −0.599820 + 0.752150i
\(359\) 119597. + 523990.i 0.0489762 + 0.214579i 0.993495 0.113880i \(-0.0363280\pi\)
−0.944518 + 0.328459i \(0.893471\pi\)
\(360\) −11434.7 + 5506.68i −0.00465018 + 0.00223941i
\(361\) 845448. 407146.i 0.341443 0.164430i
\(362\) 912745. + 1.14455e6i 0.366082 + 0.459052i
\(363\) −539089. 2.36191e6i −0.214731 0.940797i
\(364\) 315440. 1.38203e6i 0.124785 0.546720i
\(365\) −719036. 901643.i −0.282500 0.354244i
\(366\) 1.00269e6 + 1.25733e6i 0.391259 + 0.490623i
\(367\) 524050. 2.29601e6i 0.203099 0.889834i −0.765937 0.642915i \(-0.777725\pi\)
0.969036 0.246919i \(-0.0794181\pi\)
\(368\) −501927. 2.19909e6i −0.193206 0.846491i
\(369\) −8535.06 10702.6i −0.00326318 0.00409190i
\(370\) −1.22320e6 + 589062.i −0.464508 + 0.223695i
\(371\) 2.24803e6 1.08259e6i 0.847945 0.408349i
\(372\) 97662.2 + 427886.i 0.0365906 + 0.160314i
\(373\) 1.46301e6 1.83456e6i 0.544472 0.682746i −0.431131 0.902289i \(-0.641885\pi\)
0.975603 + 0.219543i \(0.0704566\pi\)
\(374\) 30684.8 + 14777.0i 0.0113434 + 0.00546271i
\(375\) 1.61529e6 2.02551e6i 0.593161 0.743801i
\(376\) −408180. + 1.78835e6i −0.148896 + 0.652354i
\(377\) −2.97794e6 + 1.43410e6i −1.07910 + 0.519669i
\(378\) 915334. 4.01034e6i 0.329496 1.44362i
\(379\) 2.76899e6 + 1.33347e6i 0.990200 + 0.476855i 0.857601 0.514315i \(-0.171954\pi\)
0.132598 + 0.991170i \(0.457668\pi\)
\(380\) 684474. 0.243163
\(381\) 4.21733e6 1.48842
\(382\) −3.08472e6 1.48552e6i −1.08158 0.520860i
\(383\) −270745. 1.18621e6i −0.0943113 0.413205i 0.905630 0.424070i \(-0.139399\pi\)
−0.999941 + 0.0108645i \(0.996542\pi\)
\(384\) −1.83073e6 2.29566e6i −0.633572 0.794475i
\(385\) −204011. + 255822.i −0.0701459 + 0.0879601i
\(386\) 4.22231e6 1.44239
\(387\) 30863.6 34375.8i 0.0104754 0.0116674i
\(388\) −1.52913e6 −0.515660
\(389\) −3.33817e6 + 4.18594e6i −1.11850 + 1.40255i −0.213599 + 0.976921i \(0.568519\pi\)
−0.904898 + 0.425629i \(0.860053\pi\)
\(390\) −1.16423e6 1.45990e6i −0.387596 0.486030i
\(391\) −28718.5 125824.i −0.00949992 0.0416219i
\(392\) 635606. + 306092.i 0.208917 + 0.100609i
\(393\) −1.32875e6 −0.433973
\(394\) 3.11248e6 1.01010
\(395\) −1.61309e6 776824.i −0.520195 0.250513i
\(396\) 967.989 4241.04i 0.000310193 0.00135905i
\(397\) −4.27577e6 + 2.05910e6i −1.36156 + 0.655695i −0.964985 0.262306i \(-0.915517\pi\)
−0.396579 + 0.918000i \(0.629803\pi\)
\(398\) 1.30169e6 5.70306e6i 0.411907 1.80468i
\(399\) 1.83707e6 2.30361e6i 0.577688 0.724398i
\(400\) −2.41366e6 1.16236e6i −0.754270 0.363237i
\(401\) −599915. + 752270.i −0.186307 + 0.233622i −0.866210 0.499681i \(-0.833451\pi\)
0.679903 + 0.733302i \(0.262022\pi\)
\(402\) −187424. 821158.i −0.0578442 0.253432i
\(403\) −797310. + 383964.i −0.244548 + 0.117768i
\(404\) −2.63655e6 + 1.26970e6i −0.803679 + 0.387032i
\(405\) −1.16258e6 1.45783e6i −0.352198 0.441642i
\(406\) 1.47760e6 + 6.47377e6i 0.444878 + 1.94914i
\(407\) −89083.9 + 390302.i −0.0266571 + 0.116792i
\(408\) −73223.7 91819.6i −0.0217772 0.0273077i
\(409\) 3.57872e6 + 4.48757e6i 1.05784 + 1.32649i 0.942885 + 0.333117i \(0.108101\pi\)
0.114954 + 0.993371i \(0.463328\pi\)
\(410\) −179945. + 788390.i −0.0528664 + 0.231623i
\(411\) 222421. + 974492.i 0.0649489 + 0.284560i
\(412\) 636057. + 797590.i 0.184609 + 0.231492i
\(413\) 4.41514e6 2.12622e6i 1.27371 0.613385i
\(414\) −42481.5 + 20458.0i −0.0121815 + 0.00586628i
\(415\) −832760. 3.64856e6i −0.237356 1.03992i
\(416\) −1.88847e6 + 2.36807e6i −0.535029 + 0.670906i
\(417\) 421351. + 202912.i 0.118660 + 0.0571436i
\(418\) 359949. 451362.i 0.100763 0.126353i
\(419\) 658226. 2.88388e6i 0.183164 0.802493i −0.796948 0.604048i \(-0.793554\pi\)
0.980112 0.198445i \(-0.0635893\pi\)
\(420\) −1.18164e6 + 569047.i −0.326860 + 0.157407i
\(421\) 279646. 1.22521e6i 0.0768960 0.336904i −0.921817 0.387626i \(-0.873295\pi\)
0.998713 + 0.0507224i \(0.0161524\pi\)
\(422\) 7.57901e6 + 3.64986e6i 2.07172 + 0.997689i
\(423\) 67332.2 0.0182967
\(424\) −1.68584e6 −0.455409
\(425\) −138101. 66506.1i −0.0370873 0.0178603i
\(426\) 1.03946e6 + 4.55418e6i 0.277514 + 1.21587i
\(427\) 1.42001e6 + 1.78064e6i 0.376897 + 0.472614i
\(428\) −1.56027e6 + 1.95652e6i −0.411709 + 0.516267i
\(429\) −550620. −0.144447
\(430\) −2.72441e6 159329.i −0.710562 0.0415550i
\(431\) −1.62803e6 −0.422153 −0.211077 0.977470i \(-0.567697\pi\)
−0.211077 + 0.977470i \(0.567697\pi\)
\(432\) −3.04287e6 + 3.81564e6i −0.784467 + 0.983690i
\(433\) −2.72533e6 3.41745e6i −0.698552 0.875957i 0.298362 0.954453i \(-0.403560\pi\)
−0.996914 + 0.0784958i \(0.974988\pi\)
\(434\) 395609. + 1.73328e6i 0.100819 + 0.441717i
\(435\) 2.75516e6 + 1.32681e6i 0.698109 + 0.336191i
\(436\) −1.27104e6 −0.320217
\(437\) −2.18770e6 −0.548006
\(438\) −3.51266e6 1.69161e6i −0.874885 0.421323i
\(439\) 56625.1 248091.i 0.0140232 0.0614398i −0.967432 0.253130i \(-0.918540\pi\)
0.981455 + 0.191691i \(0.0613970\pi\)
\(440\) 199186. 95922.8i 0.0490486 0.0236206i
\(441\) 5762.24 25246.0i 0.00141090 0.00618154i
\(442\) −171615. + 215199.i −0.0417831 + 0.0523943i
\(443\) −1.70340e6 820312.i −0.412388 0.198596i 0.216174 0.976355i \(-0.430642\pi\)
−0.628562 + 0.777759i \(0.716356\pi\)
\(444\) −1.00048e6 + 1.25456e6i −0.240852 + 0.302019i
\(445\) 621738. + 2.72401e6i 0.148836 + 0.652092i
\(446\) 5.02165e6 2.41830e6i 1.19539 0.575669i
\(447\) −2.25653e6 + 1.08669e6i −0.534162 + 0.257239i
\(448\) −125163. 156949.i −0.0294632 0.0369456i
\(449\) 609335. + 2.66967e6i 0.142640 + 0.624945i 0.994816 + 0.101691i \(0.0324252\pi\)
−0.852176 + 0.523255i \(0.824718\pi\)
\(450\) −12461.2 + 54595.9i −0.00290086 + 0.0127095i
\(451\) 148675. + 186433.i 0.0344189 + 0.0431600i
\(452\) −2.02526e6 2.53960e6i −0.466268 0.584682i
\(453\) −1.51047e6 + 6.61781e6i −0.345834 + 1.51520i
\(454\) 661890. + 2.89993e6i 0.150711 + 0.660310i
\(455\) −1.64879e6 2.06752e6i −0.373369 0.468189i
\(456\) −1.79362e6 + 863761.i −0.403941 + 0.194528i
\(457\) 3.07243e6 1.47961e6i 0.688164 0.331402i −0.0569148 0.998379i \(-0.518126\pi\)
0.745078 + 0.666977i \(0.232412\pi\)
\(458\) −1.65676e6 7.25872e6i −0.369058 1.61695i
\(459\) −174103. + 218318.i −0.0385721 + 0.0483679i
\(460\) 877359. + 422514.i 0.193323 + 0.0930993i
\(461\) 1.09138e6 1.36854e6i 0.239178 0.299920i −0.647726 0.761873i \(-0.724280\pi\)
0.886904 + 0.461953i \(0.152851\pi\)
\(462\) −246150. + 1.07846e6i −0.0536532 + 0.235070i
\(463\) 2.54620e6 1.22618e6i 0.552001 0.265830i −0.137023 0.990568i \(-0.543754\pi\)
0.689024 + 0.724738i \(0.258039\pi\)
\(464\) 1.75308e6 7.68074e6i 0.378013 1.65618i
\(465\) 737661. + 355239.i 0.158207 + 0.0761883i
\(466\) 838786. 0.178931
\(467\) −7.27996e6 −1.54467 −0.772337 0.635213i \(-0.780912\pi\)
−0.772337 + 0.635213i \(0.780912\pi\)
\(468\) 31675.4 + 15254.1i 0.00668509 + 0.00321937i
\(469\) −265431. 1.16293e6i −0.0557210 0.244130i
\(470\) −2.47995e6 3.10976e6i −0.517844 0.649355i
\(471\) −1.58209e6 + 1.98388e6i −0.328608 + 0.412062i
\(472\) −3.31100e6 −0.684075
\(473\) −537623. + 598804.i −0.110491 + 0.123064i
\(474\) −6.05277e6 −1.23740
\(475\) −1.62000e6 + 2.03142e6i −0.329444 + 0.413109i
\(476\) 120537. + 151148.i 0.0243839 + 0.0305764i
\(477\) 13769.9 + 60329.7i 0.00277098 + 0.0121405i
\(478\) 1.14205e6 + 549984.i 0.228621 + 0.110098i
\(479\) 5.08638e6 1.01291 0.506454 0.862267i \(-0.330956\pi\)
0.506454 + 0.862267i \(0.330956\pi\)
\(480\) 2.80228e6 0.555147
\(481\) −2.91508e6 1.40383e6i −0.574497 0.276663i
\(482\) 2.68413e6 1.17600e7i 0.526243 2.30562i
\(483\) 3.77673e6 1.81878e6i 0.736629 0.354742i
\(484\) 599588. 2.62697e6i 0.116343 0.509731i
\(485\) −1.77854e6 + 2.23022e6i −0.343328 + 0.430520i
\(486\) 182410. + 87844.2i 0.0350315 + 0.0168703i
\(487\) 358667. 449754.i 0.0685282 0.0859316i −0.746386 0.665513i \(-0.768213\pi\)
0.814914 + 0.579582i \(0.196784\pi\)
\(488\) −342419. 1.50024e6i −0.0650891 0.285174i
\(489\) 4.88837e6 2.35412e6i 0.924469 0.445201i
\(490\) −1.37823e6 + 663720.i −0.259317 + 0.124881i
\(491\) 2.52228e6 + 3.16284e6i 0.472160 + 0.592070i 0.959699 0.281031i \(-0.0906765\pi\)
−0.487538 + 0.873102i \(0.662105\pi\)
\(492\) 212682. + 931821.i 0.0396112 + 0.173548i
\(493\) 100305. 439465.i 0.0185868 0.0814342i
\(494\) 2.90907e6 + 3.64785e6i 0.536335 + 0.672543i
\(495\) −5059.65 6344.60i −0.000928127 0.00116383i
\(496\) 469366. 2.05643e6i 0.0856659 0.375327i
\(497\) 1.47209e6 + 6.44965e6i 0.267327 + 1.17124i
\(498\) −7.88830e6 9.89162e6i −1.42531 1.78729i
\(499\) 6.86615e6 3.30656e6i 1.23442 0.594464i 0.301126 0.953584i \(-0.402638\pi\)
0.933291 + 0.359121i \(0.116923\pi\)
\(500\) 2.59611e6 1.25022e6i 0.464407 0.223647i
\(501\) 1.57995e6 + 6.92220e6i 0.281221 + 1.23211i
\(502\) −7.08408e6 + 8.88315e6i −1.25465 + 1.57329i
\(503\) 4.13679e6 + 1.99217e6i 0.729026 + 0.351081i 0.761301 0.648398i \(-0.224561\pi\)
−0.0322748 + 0.999479i \(0.510275\pi\)
\(504\) −37885.8 + 47507.3i −0.00664356 + 0.00833076i
\(505\) −1.21475e6 + 5.32219e6i −0.211963 + 0.928671i
\(506\) 740001. 356366.i 0.128486 0.0618756i
\(507\) −287560. + 1.25988e6i −0.0496832 + 0.217676i
\(508\) 4.22609e6 + 2.03518e6i 0.726574 + 0.349900i
\(509\) −4.86437e6 −0.832209 −0.416104 0.909317i \(-0.636605\pi\)
−0.416104 + 0.909317i \(0.636605\pi\)
\(510\) 254657. 0.0433541
\(511\) −4.97465e6 2.39566e6i −0.842772 0.405858i
\(512\) −661441. 2.89796e6i −0.111511 0.488560i
\(513\) 2.95123e6 + 3.70072e6i 0.495119 + 0.620859i
\(514\) 6.18200e6 7.75199e6i 1.03210 1.29421i
\(515\) 1.90308e6 0.316184
\(516\) −2.98288e6 + 1.22747e6i −0.493188 + 0.202948i
\(517\) −1.17288e6 −0.192987
\(518\) −4.05273e6 + 5.08197e6i −0.663626 + 0.832161i
\(519\) 2.10860e6 + 2.64411e6i 0.343619 + 0.430884i
\(520\) 397587. + 1.74194e6i 0.0644798 + 0.282504i
\(521\) 1.11155e6 + 535294.i 0.179405 + 0.0863968i 0.521430 0.853294i \(-0.325399\pi\)
−0.342025 + 0.939691i \(0.611113\pi\)
\(522\) −164684. −0.0264530
\(523\) 7.57480e6 1.21092 0.605462 0.795874i \(-0.292988\pi\)
0.605462 + 0.795874i \(0.292988\pi\)
\(524\) −1.33151e6 641223.i −0.211845 0.102019i
\(525\) 1.10783e6 4.85374e6i 0.175419 0.768561i
\(526\) 1.29040e7 6.21423e6i 2.03357 0.979316i
\(527\) 26855.5 117662.i 0.00421218 0.0184548i
\(528\) 818285. 1.02610e6i 0.127738 0.160178i
\(529\) 2.99475e6 + 1.44219e6i 0.465287 + 0.224070i
\(530\) 2.27918e6 2.85801e6i 0.352444 0.441951i
\(531\) 27044.1 + 118488.i 0.00416232 + 0.0182363i
\(532\) 2.95256e6 1.42188e6i 0.452292 0.217812i
\(533\) −1.73633e6 + 836171.i −0.264736 + 0.127490i
\(534\) 5.88940e6 + 7.38507e6i 0.893754 + 1.12073i
\(535\) 1.03880e6 + 4.55129e6i 0.156909 + 0.687464i
\(536\) −179339. + 785736.i −0.0269627 + 0.118131i
\(537\) 3.20709e6 + 4.02156e6i 0.479927 + 0.601809i
\(538\) 4.86927e6 + 6.10588e6i 0.725285 + 0.909478i
\(539\) −100375. + 439769.i −0.0148817 + 0.0652008i
\(540\) −468839. 2.05412e6i −0.0691893 0.303138i
\(541\) −1.39498e6 1.74925e6i −0.204915 0.256956i 0.668745 0.743492i \(-0.266832\pi\)
−0.873661 + 0.486536i \(0.838260\pi\)
\(542\) 1.70306e6 820152.i 0.249019 0.119921i
\(543\) 2.90812e6 1.40048e6i 0.423265 0.203834i
\(544\) −91917.3 402716.i −0.0133168 0.0583447i
\(545\) −1.47836e6 + 1.85381e6i −0.213201 + 0.267346i
\(546\) −8.05475e6 3.87896e6i −1.15630 0.556845i
\(547\) 5.81508e6 7.29188e6i 0.830974 1.04201i −0.167449 0.985881i \(-0.553553\pi\)
0.998424 0.0561283i \(-0.0178756\pi\)
\(548\) −247382. + 1.08385e6i −0.0351898 + 0.154177i
\(549\) −50890.8 + 24507.7i −0.00720624 + 0.00347034i
\(550\) 217065. 951025.i 0.0305973 0.134056i
\(551\) −6.88429e6 3.31530e6i −0.966007 0.465204i
\(552\) −2.83224e6 −0.395624
\(553\) −8.57196e6 −1.19198
\(554\) −1.17112e7 5.63983e6i −1.62117 0.780713i
\(555\) 666103. + 2.91839e6i 0.0917928 + 0.402171i
\(556\) 324307. + 406668.i 0.0444907 + 0.0557895i
\(557\) 3.25674e6 4.08382e6i 0.444780 0.557736i −0.508016 0.861347i \(-0.669621\pi\)
0.952796 + 0.303611i \(0.0981925\pi\)
\(558\) −44092.2 −0.00599482
\(559\) −3.75127e6 5.31295e6i −0.507749 0.719128i
\(560\) 6.30319e6 0.849357
\(561\) 46819.4 58709.7i 0.00628086 0.00787595i
\(562\) 3.34111e6 + 4.18962e6i 0.446221 + 0.559544i
\(563\) 1.30395e6 + 5.71300e6i 0.173377 + 0.759614i 0.984592 + 0.174866i \(0.0559494\pi\)
−0.811215 + 0.584748i \(0.801193\pi\)
\(564\) −4.23560e6 2.03976e6i −0.560683 0.270011i
\(565\) −6.05960e6 −0.798588
\(566\) −3.94944e6 −0.518197
\(567\) −8.04333e6 3.87346e6i −1.05070 0.505990i
\(568\) 994623. 4.35773e6i 0.129356 0.566747i
\(569\) −2.31521e6 + 1.11494e6i −0.299784 + 0.144369i −0.577729 0.816228i \(-0.696061\pi\)
0.277945 + 0.960597i \(0.410347\pi\)
\(570\) 960560. 4.20849e6i 0.123833 0.542549i
\(571\) 729588. 914875.i 0.0936456 0.117428i −0.732801 0.680443i \(-0.761787\pi\)
0.826447 + 0.563015i \(0.190359\pi\)
\(572\) −551765. 265716.i −0.0705121 0.0339568i
\(573\) −4.70671e6 + 5.90203e6i −0.598868 + 0.750957i
\(574\) 861530. + 3.77461e6i 0.109142 + 0.478181i
\(575\) −3.33048e6 + 1.60387e6i −0.420084 + 0.202302i
\(576\) 4485.61 2160.15i 0.000563333 0.000271287i
\(577\) 519474. + 651400.i 0.0649568 + 0.0814532i 0.813248 0.581917i \(-0.197697\pi\)
−0.748292 + 0.663370i \(0.769126\pi\)
\(578\) 2.20782e6 + 9.67310e6i 0.274881 + 1.20433i
\(579\) 2.07159e6 9.07623e6i 0.256807 1.12515i
\(580\) 2.12060e6 + 2.65914e6i 0.261751 + 0.328225i
\(581\) −1.11714e7 1.40085e7i −1.37300 1.72168i
\(582\) −2.14590e6 + 9.40182e6i −0.262605 + 1.15055i
\(583\) −239862. 1.05090e6i −0.0292274 0.128054i
\(584\) 2.32598e6 + 2.91669e6i 0.282211 + 0.353881i
\(585\) 59089.9 28456.2i 0.00713877 0.00343785i
\(586\) −8.05172e6 + 3.87750e6i −0.968601 + 0.466453i
\(587\) 1.42334e6 + 6.23604e6i 0.170495 + 0.746988i 0.985796 + 0.167950i \(0.0537146\pi\)
−0.815300 + 0.579038i \(0.803428\pi\)
\(588\) −1.12728e6 + 1.41357e6i −0.134459 + 0.168606i
\(589\) −1.84319e6 887633.i −0.218918 0.105425i
\(590\) 4.47632e6 5.61313e6i 0.529409 0.663858i
\(591\) 1.52707e6 6.69054e6i 0.179842 0.787939i
\(592\) 6.94823e6 3.34609e6i 0.814835 0.392404i
\(593\) −1.24010e6 + 5.43325e6i −0.144818 + 0.634487i 0.849459 + 0.527654i \(0.176928\pi\)
−0.994277 + 0.106833i \(0.965929\pi\)
\(594\) −1.60109e6 771047.i −0.186188 0.0896632i
\(595\) 360647. 0.0417628
\(596\) −2.78564e6 −0.321225
\(597\) −1.16206e7 5.59618e6i −1.33442 0.642622i
\(598\) 1.47709e6 + 6.47153e6i 0.168909 + 0.740038i
\(599\) −2.49652e6 3.13053e6i −0.284294 0.356493i 0.619094 0.785317i \(-0.287500\pi\)
−0.903388 + 0.428823i \(0.858928\pi\)
\(600\) −2.09728e6 + 2.62991e6i −0.237837 + 0.298238i
\(601\) −4.27870e6 −0.483198 −0.241599 0.970376i \(-0.577672\pi\)
−0.241599 + 0.970376i \(0.577672\pi\)
\(602\) −1.20830e7 + 4.97221e6i −1.35889 + 0.559188i
\(603\) 29583.3 0.00331324
\(604\) −4.70721e6 + 5.90265e6i −0.525014 + 0.658347i
\(605\) −3.13403e6 3.92995e6i −0.348108 0.436514i
\(606\) 4.10671e6 + 1.79927e7i 0.454268 + 1.99028i
\(607\) −2.03756e6 981239.i −0.224460 0.108094i 0.318274 0.947999i \(-0.396897\pi\)
−0.542735 + 0.839904i \(0.682611\pi\)
\(608\) −7.00203e6 −0.768184
\(609\) 1.46409e7 1.59965
\(610\) 3.00629e6 + 1.44775e6i 0.327119 + 0.157532i
\(611\) 2.10930e6 9.24144e6i 0.228578 1.00147i
\(612\) −4319.83 + 2080.32i −0.000466217 + 0.000224518i
\(613\) −1.20973e6 + 5.30017e6i −0.130028 + 0.569690i 0.867374 + 0.497657i \(0.165806\pi\)
−0.997402 + 0.0720335i \(0.977051\pi\)
\(614\) −5.59141e6 + 7.01141e6i −0.598550 + 0.750558i
\(615\) 1.60643e6 + 773615.i 0.171267 + 0.0824778i
\(616\) 659947. 827547.i 0.0700740 0.0878701i
\(617\) −1.05154e6 4.60709e6i −0.111202 0.487207i −0.999604 0.0281409i \(-0.991041\pi\)
0.888402 0.459066i \(-0.151816\pi\)
\(618\) 5.79659e6 2.79149e6i 0.610522 0.294012i
\(619\) −4.48655e6 + 2.16061e6i −0.470637 + 0.226647i −0.654142 0.756372i \(-0.726970\pi\)
0.183505 + 0.983019i \(0.441256\pi\)
\(620\) 567765. + 711955.i 0.0593184 + 0.0743829i
\(621\) 1.49849e6 + 6.56533e6i 0.155929 + 0.683168i
\(622\) 411676. 1.80367e6i 0.0426657 0.186931i
\(623\) 8.34059e6 + 1.04588e7i 0.860947 + 1.07959i
\(624\) 6.61328e6 + 8.29280e6i 0.679917 + 0.852589i
\(625\) −260904. + 1.14310e6i −0.0267166 + 0.117053i
\(626\) −4.20936e6 1.84424e7i −0.429319 1.88097i
\(627\) −793640. 995194.i −0.0806222 0.101097i
\(628\) −2.54275e6 + 1.22452e6i −0.257279 + 0.123899i
\(629\) 397553. 191452.i 0.0400653 0.0192945i
\(630\) −29319.2 128456.i −0.00294307 0.0128944i
\(631\) −8.27192e6 + 1.03727e7i −0.827053 + 1.03709i 0.171598 + 0.985167i \(0.445107\pi\)
−0.998651 + 0.0519243i \(0.983465\pi\)
\(632\) 5.21812e6 + 2.51291e6i 0.519662 + 0.250256i
\(633\) 1.15642e7 1.45010e7i 1.14711 1.43843i
\(634\) 4.20270e6 1.84132e7i 0.415246 1.81931i
\(635\) 7.88371e6 3.79659e6i 0.775883 0.373645i
\(636\) 961418. 4.21225e6i 0.0942475 0.412925i
\(637\) −3.28454e6 1.58175e6i −0.320720 0.154451i
\(638\) 2.86869e6 0.279017
\(639\) −164070. −0.0158956
\(640\) −5.48894e6 2.64333e6i −0.529710 0.255095i
\(641\) 2.22437e6 + 9.74558e6i 0.213826 + 0.936834i 0.961939 + 0.273263i \(0.0881029\pi\)
−0.748113 + 0.663571i \(0.769040\pi\)
\(642\) 9.84004e6 + 1.23390e7i 0.942235 + 1.18153i
\(643\) 9.04564e6 1.13429e7i 0.862803 1.08192i −0.133064 0.991107i \(-0.542482\pi\)
0.995868 0.0908139i \(-0.0289469\pi\)
\(644\) 4.66228e6 0.442980
\(645\) −1.67917e6 + 5.77819e6i −0.158926 + 0.546881i
\(646\) −636310. −0.0599912
\(647\) 1.06835e7 1.33966e7i 1.00335 1.25816i 0.0374306 0.999299i \(-0.488083\pi\)
0.965916 0.258857i \(-0.0833459\pi\)
\(648\) 3.76079e6 + 4.71589e6i 0.351837 + 0.441190i
\(649\) −471090. 2.06398e6i −0.0439028 0.192351i
\(650\) 7.10300e6 + 3.42062e6i 0.659414 + 0.317557i
\(651\) 3.91993e6 0.362515
\(652\) 6.03458e6 0.555940
\(653\) −1.28316e7 6.17938e6i −1.17760 0.567103i −0.260390 0.965503i \(-0.583851\pi\)
−0.917212 + 0.398400i \(0.869566\pi\)
\(654\) −1.78373e6 + 7.81501e6i −0.163074 + 0.714472i
\(655\) −2.48392e6 + 1.19619e6i −0.226221 + 0.108942i
\(656\) 1.02215e6 4.47835e6i 0.0927378 0.406311i
\(657\) 85378.4 107061.i 0.00771676 0.00967651i
\(658\) −1.71575e7 8.26263e6i −1.54486 0.743967i
\(659\) −4.77485e6 + 5.98747e6i −0.428298 + 0.537069i −0.948417 0.317025i \(-0.897316\pi\)
0.520119 + 0.854094i \(0.325888\pi\)
\(660\) 126079. + 552390.i 0.0112664 + 0.0493612i
\(661\) 1.80113e7 8.67379e6i 1.60340 0.772157i 0.603713 0.797202i \(-0.293687\pi\)
0.999686 + 0.0250450i \(0.00797291\pi\)
\(662\) 2.44143e7 1.17573e7i 2.16521 1.04271i
\(663\) 378389. + 474485.i 0.0334314 + 0.0419217i
\(664\) 2.69386e6 + 1.18026e7i 0.237113 + 1.03886i
\(665\) 1.36035e6 5.96008e6i 0.119288 0.522634i
\(666\) −100511. 126037.i −0.00878069 0.0110106i
\(667\) −6.77781e6 8.49910e6i −0.589895 0.739705i
\(668\) −1.75725e6 + 7.69903e6i −0.152368 + 0.667567i
\(669\) −2.73457e6 1.19810e7i −0.236224 1.03497i
\(670\) −1.08960e6 1.36631e6i −0.0937734 0.117588i
\(671\) 886485. 426909.i 0.0760090 0.0366040i
\(672\) 1.20879e7 5.82124e6i 1.03259 0.497270i
\(673\) 1.80414e6 + 7.90444e6i 0.153544 + 0.672719i 0.991838 + 0.127501i \(0.0406957\pi\)
−0.838295 + 0.545217i \(0.816447\pi\)
\(674\) −1.06431e7 + 1.33460e7i −0.902440 + 1.13162i
\(675\) 7.20595e6 + 3.47020e6i 0.608740 + 0.293154i
\(676\) −896148. + 1.12373e6i −0.0754246 + 0.0945794i
\(677\) −181120. + 793540.i −0.0151878 + 0.0665422i −0.981954 0.189120i \(-0.939436\pi\)
0.966766 + 0.255662i \(0.0822936\pi\)
\(678\) −1.84569e7 + 8.88837e6i −1.54200 + 0.742588i
\(679\) −3.03904e6 + 1.33149e7i −0.252966 + 1.10832i
\(680\) −219541. 105725.i −0.0182072 0.00876813i
\(681\) 6.55839e6 0.541913
\(682\) 768058. 0.0632314
\(683\) 1.05087e7 + 5.06072e6i 0.861979 + 0.415107i 0.812010 0.583643i \(-0.198373\pi\)
0.0499692 + 0.998751i \(0.484088\pi\)
\(684\) 18085.3 + 79236.8i 0.00147804 + 0.00647570i
\(685\) 1.29306e6 + 1.62144e6i 0.105291 + 0.132031i
\(686\) 6.72622e6 8.43441e6i 0.545708 0.684297i
\(687\) −1.64161e7 −1.32702
\(688\) 1.54757e7 + 905048.i 1.24646 + 0.0728955i
\(689\) 8.71171e6 0.699126
\(690\) 3.82907e6 4.80150e6i 0.306176 0.383932i
\(691\) −8.86447e6 1.11157e7i −0.706248 0.885607i 0.291225 0.956655i \(-0.405937\pi\)
−0.997473 + 0.0710473i \(0.977366\pi\)
\(692\) 837006. + 3.66716e6i 0.0664452 + 0.291115i
\(693\) −35005.1 16857.6i −0.00276885 0.00133341i
\(694\) −2.91791e7 −2.29971
\(695\) 970326. 0.0762001
\(696\) −8.91253e6 4.29205e6i −0.697394 0.335847i
\(697\) 58484.1 256235.i 0.00455990 0.0199782i
\(698\) −1.51539e7 + 7.29773e6i −1.17730 + 0.566956i
\(699\) 411533. 1.80304e6i 0.0318575 0.139577i
\(700\) 3.45243e6 4.32922e6i 0.266306 0.333937i
\(701\) −5.53263e6 2.66438e6i −0.425243 0.204786i 0.209007 0.977914i \(-0.432977\pi\)
−0.634250 + 0.773128i \(0.718691\pi\)
\(702\) 8.95466e6 1.12288e7i 0.685814 0.859983i
\(703\) −1.66439e6 7.29215e6i −0.127018 0.556503i
\(704\) −78136.4 + 37628.5i −0.00594185 + 0.00286144i
\(705\) −7.90144e6 + 3.80513e6i −0.598733 + 0.288335i
\(706\) 1.26083e7 + 1.58103e7i 0.952014 + 1.19379i
\(707\) 5.81594e6 + 2.54813e7i 0.437594 + 1.91722i
\(708\) 1.88823e6 8.27287e6i 0.141570 0.620259i
\(709\) −1.14138e7 1.43125e7i −0.852736 1.06930i −0.996816 0.0797312i \(-0.974594\pi\)
0.144080 0.989566i \(-0.453978\pi\)
\(710\) 6.04297e6 + 7.57765e6i 0.449888 + 0.564142i
\(711\) 47306.1 207262.i 0.00350949 0.0153761i
\(712\) −2.01123e6 8.81178e6i −0.148683 0.651424i
\(713\) −1.81468e6 2.27554e6i −0.133683 0.167633i
\(714\) 1.09849e6 529006.i 0.0806402 0.0388343i
\(715\) −1.02931e6 + 495688.i −0.0752974 + 0.0362613i
\(716\) 1.27305e6 + 5.57758e6i 0.0928030 + 0.406596i
\(717\) 1.74256e6 2.18510e6i 0.126587 0.158736i
\(718\) 3.39663e6 + 1.63573e6i 0.245888 + 0.118413i
\(719\) 1.17843e6 1.47770e6i 0.0850122 0.106602i −0.737506 0.675340i \(-0.763997\pi\)
0.822519 + 0.568738i \(0.192568\pi\)
\(720\) −34785.5 + 152405.i −0.00250073 + 0.0109564i
\(721\) 8.20916e6 3.95332e6i 0.588112 0.283220i
\(722\) 1.46466e6 6.41709e6i 0.104567 0.458137i
\(723\) −2.39621e7 1.15396e7i −1.70483 0.821001i
\(724\) 3.59000e6 0.254536
\(725\) −1.29109e7 −0.912247
\(726\) −1.53105e7 7.37313e6i −1.07807 0.519171i
\(727\) 4.15051e6 + 1.81846e7i 0.291250 + 1.27605i 0.882788 + 0.469772i \(0.155664\pi\)
−0.591538 + 0.806277i \(0.701479\pi\)
\(728\) 5.33361e6 + 6.68814e6i 0.372986 + 0.467710i
\(729\) 9.08224e6 1.13888e7i 0.632957 0.793703i
\(730\) −8.08928e6 −0.561827
\(731\) 885464. + 51783.7i 0.0612883 + 0.00358426i
\(732\) 3.94378e6 0.272041
\(733\) −7.55992e6 + 9.47984e6i −0.519706 + 0.651690i −0.970546 0.240914i \(-0.922553\pi\)
0.450841 + 0.892604i \(0.351124\pi\)
\(734\) −1.02996e7 1.29153e7i −0.705634 0.884837i
\(735\) 750525. + 3.28827e6i 0.0512445 + 0.224517i
\(736\) −8.97521e6 4.32223e6i −0.610731 0.294112i
\(737\) −515322. −0.0349470
\(738\) −96021.0 −0.00648971
\(739\) 5.59947e6 + 2.69656e6i 0.377169 + 0.181635i 0.612857 0.790194i \(-0.290020\pi\)
−0.235688 + 0.971829i \(0.575734\pi\)
\(740\) −740855. + 3.24590e6i −0.0497341 + 0.217899i
\(741\) 9.26865e6 4.46355e6i 0.620113 0.298631i
\(742\) 3.89450e6 1.70629e7i 0.259682 1.13774i
\(743\) −2.10927e6 + 2.64494e6i −0.140171 + 0.175769i −0.846962 0.531653i \(-0.821571\pi\)
0.706791 + 0.707423i \(0.250142\pi\)
\(744\) −2.38623e6 1.14915e6i −0.158045 0.0761103i
\(745\) −3.24000e6 + 4.06283e6i −0.213872 + 0.268187i
\(746\) −3.66250e6 1.60465e7i −0.240952 1.05568i
\(747\) 400365. 192806.i 0.0262515 0.0126421i
\(748\) 75248.6 36237.8i 0.00491750 0.00236814i
\(749\) 1.39355e7 + 1.74746e7i 0.907649 + 1.13816i
\(750\) −4.04372e6 1.77167e7i −0.262499 1.15008i
\(751\) −576145. + 2.52426e6i −0.0372762 + 0.163318i −0.990140 0.140080i \(-0.955264\pi\)
0.952864 + 0.303398i \(0.0981211\pi\)
\(752\) 1.40870e7 + 1.76646e7i 0.908396 + 1.13909i
\(753\) 1.56195e7 + 1.95862e7i 1.00387 + 1.25882i
\(754\) −5.15901e6 + 2.26031e7i −0.330475 + 1.44790i
\(755\) 3.13398e6 + 1.37309e7i 0.200092 + 0.876658i
\(756\) −6.28945e6 7.88673e6i −0.400229 0.501871i
\(757\) −2.07220e7 + 9.97920e6i −1.31429 + 0.632931i −0.953972 0.299897i \(-0.903048\pi\)
−0.360323 + 0.932828i \(0.617333\pi\)
\(758\) 1.94227e7 9.35348e6i 1.22782 0.591289i